Quasicontraction Mappings in Modular Spaces without Δ2-Condition

By Mohamed Amine Khamsi. 2008

71 citations recorded by the source corpus.

As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the 2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a318b416958ce66c1dc82b9129fe10e6d941b979

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In Computational Theory and Mathematics

1. Wutiphol Sintunavarat
2. Poom Kumam
3. Jong Kyu Kim

In Geometry and Topology

1. Poom Kumam
2. Wutiphol Sintunavarat
3. Chirasak Mongkolkeha
4. Jong Kyu Kim

Citations in the corpus

• Fixed point theorems for contraction mappings in modular metric spaces (2011, background): “A lot of mathematicians are interested fixed points of Modular spaces, for example [4,19-26].”